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Finding the Third Proportional to 301.71 and 453.94

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Solution

The third proportional to 301.71 and 453.94 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.71 : 453.94 = 453.94 : x
  2. Step 2: Convert to fraction form
    301.71/453.94 = 453.94/x
  3. Step 3: Cross multiply
    301.71x = 453.94 × 453.94
  4. Step 4: Simplify right side
    301.71x = 206,059.25
  5. Step 5: Solve for x
    x = 206,059.25/301.71
  6. Step 6: Final answer
    x = 682.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.